[go: up one dir, main page]

Search a number
-
+
9712944 = 2432371823
BaseRepresentation
bin100101000011…
…010100110000
3200021110122200
4211003110300
54441303234
6544103200
7145362423
oct45032460
920243580
109712944
11553452a
123304b00
132021007
14140b9ba
15cbcd99
hex943530

9712944 has 60 divisors (see below), whose sum is σ = 27932736. Its totient is φ = 3148416.

The previous prime is 9712931. The next prime is 9712949. The reversal of 9712944 is 4492179.

It is a super-2 number, since 2×97129442 = 188682562294272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9712899 and 9712908.

It is not an unprimeable number, because it can be changed into a prime (9712949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4417 + ... + 6239.

Almost surely, 29712944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9712944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13966368).

9712944 is an abundant number, since it is smaller than the sum of its proper divisors (18219792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9712944 is a wasteful number, since it uses less digits than its factorization.

9712944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1865 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 9712944 is about 3116.5596416562. The cubic root of 9712944 is about 213.3619449472.

It can be divided in two parts, 97 and 12944, that added together give a triangular number (13041 = T161).

The spelling of 9712944 in words is "nine million, seven hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 1823 2664 3646 5328 5469 7292 10938 14584 16407 21876 29168 32814 43752 65628 67451 87504 131256 134902 202353 262512 269804 404706 539608 607059 809412 1079216 1214118 1618824 2428236 3237648 4856472 9712944